This service allows you to have one or more addresses you@yourdomain.tld that are on the XMPP/Jabber network. This is the same network that GTalk is on, and you will be able to chat with GTalk users from your accounts.

There are several different types of Bitcoin clients. The most secure are full nodes like Bitcoin-Qt, which will follow the rules of the network no matter what miners do. Even if every miner decided to create 1000 bitcoins per block, full nodes would stick to the rules and reject those blocks.

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Is a Domain included (if so which TLDs) or is it nessecary to redirect A-Records to your server?

Is it possible to use IM Gateways to other IM Systems with Prosody.im and do you offer such a gateway?

How is your server connected to the internet?

Good questions! Some of this I mean to cover in the OP. You must have a domain (or subdomain, or whatever. You can get a free one from co.cc if you don't want to pay $10/yr for a domain). If people are interested in proxy-registering domains for BTC I could offer that as a seperate service. You do NOT, however, need to point your A records at my server. You can host your domain primarily anywhere else you want, you only need to add some SRV records to your DNS to tell it where the XMPP server is. In this case the records to add are:

It is possible to use gateways. I do not currently run the gateways, but if that's something people are interested in I could look at it. I do know some servers offer the gateways publicly, so you could at very least use those even with your account being on my server.

My server is a dedicated box from iWeb living in their data centre on the Montreal Island in Canada with a 10 Mbps ethernet connection to their infrastructure.

Never got it how XMPP works. Can I use a client like Pidgin, and if I own mydommy.com to talk to people on Yahoo, Gtalk, MSN using an account like wobby@mydommy.com?

You can get wobby@mydommy.com and use it to chat with people on XMPP/Jabber services (like GTalk, Livejournal, and probably someday soon Facebook and AIM). You can use "transports" to talk to legacy services like MSN, but that requires an account with the legacy service so there is no real advantage over just using your accounts on those services directly in Pidgin.

Apart from unlimited users, how is this any better than Google Apps for Domains, which offers 50 users?

Maybe you want features Google Apps doesn't give you (like server side chat room bookmarks or full control over your vcard or server side logs that you can export properly or whatever else you want pretty much. I can run a lot of different modules if you want). Maybe you don't trust Google or don't trust servers in the states.